Comments on "New hypergeometric identities arising from Gauss’s second summation theorem"

Medhat A. Rakha, Arjun K. Rathie, Purnima Chopra, Richard B. Paris

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Abstract

In 1997, Exton [J. Comput. Appl. Math. 88 (1997) 269–274] obtained a general transfor- mation involving hypergeometric functions by elementary manipulation of series. A number of hypergeometric identities not previously recorded in the literature were then deduced by application of Gauss’ second summation theorem and other known hypergeometric summa- tion theorems. However, many of the results stated by Exton contain errors. It is the purpose of this note to present the corrected forms of these hypergeometric identities.
Original languageEnglish
Pages (from-to)87-89
Number of pages3
JournalMiskolc Mathematical Notes
Volume13
Issue number1
Publication statusPublished - 2012

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Summation
Theorem
Hypergeometric Functions
Gauss
Manipulation
Series
Form

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Rakha, M. A., Rathie, A. K., Chopra, P., & Paris, R. B. (2012). Comments on "New hypergeometric identities arising from Gauss’s second summation theorem". Miskolc Mathematical Notes, 13(1), 87-89.
Rakha, Medhat A. ; Rathie, Arjun K. ; Chopra, Purnima ; Paris, Richard B. / Comments on "New hypergeometric identities arising from Gauss’s second summation theorem". In: Miskolc Mathematical Notes. 2012 ; Vol. 13, No. 1. pp. 87-89.
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Rakha, MA, Rathie, AK, Chopra, P & Paris, RB 2012, 'Comments on "New hypergeometric identities arising from Gauss’s second summation theorem"', Miskolc Mathematical Notes, vol. 13, no. 1, pp. 87-89.

Comments on "New hypergeometric identities arising from Gauss’s second summation theorem". / Rakha, Medhat A.; Rathie, Arjun K.; Chopra, Purnima; Paris, Richard B.

In: Miskolc Mathematical Notes, Vol. 13, No. 1, 2012, p. 87-89.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Comments on "New hypergeometric identities arising from Gauss’s second summation theorem"

AU - Rakha, Medhat A.

AU - Rathie, Arjun K.

AU - Chopra, Purnima

AU - Paris, Richard B.

PY - 2012

Y1 - 2012

N2 - In 1997, Exton [J. Comput. Appl. Math. 88 (1997) 269–274] obtained a general transfor- mation involving hypergeometric functions by elementary manipulation of series. A number of hypergeometric identities not previously recorded in the literature were then deduced by application of Gauss’ second summation theorem and other known hypergeometric summa- tion theorems. However, many of the results stated by Exton contain errors. It is the purpose of this note to present the corrected forms of these hypergeometric identities.

AB - In 1997, Exton [J. Comput. Appl. Math. 88 (1997) 269–274] obtained a general transfor- mation involving hypergeometric functions by elementary manipulation of series. A number of hypergeometric identities not previously recorded in the literature were then deduced by application of Gauss’ second summation theorem and other known hypergeometric summa- tion theorems. However, many of the results stated by Exton contain errors. It is the purpose of this note to present the corrected forms of these hypergeometric identities.

M3 - Article

VL - 13

SP - 87

EP - 89

JO - Miskolc Mathematical Notes

JF - Miskolc Mathematical Notes

SN - 1787-2405

IS - 1

ER -